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2 years ago

What is the length of BC⎯⎯⎯⎯⎯ ? Enter your answer in the box.

Mathematics

1 answer:

Rudiy272 years ago

8 0

Answer:

$\overline{\text{BC}}=\boxed{22}$

Step-by-step explanation:

The angle marks mean those angles have the same measure. That means the sides opposite them have the same measure, so ...

2x -24 = x -2

x = 22 . . . . . . . . . add 24-x

The length of BC is x, so is 22.

BC = 22

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The captain of a boat knows that a lighthouse on the coast is 100 ft

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Answer:

Height of the light house $=7.5\ feet$

Step-by-step explanation:

Distance of light house from boat = 100 ft

Angle of elevation from boat to the top of light house = 2°

Height above water while taking measurement = 4 ft

The figure of the situation is shown below.

For Δ ABC

$\tan2\°=\frac {AB}{BC}$

$\tan2\°=\frac {AB}{100}$

$0.035=\frac {AB}{100}$

Multiplying both sides by 100.

$100\times 0.035=100\times\frac {AB}{100}$

$3.5=AB$

∴ $AB=3.5$

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3 years ago

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